Math, asked by mastanshareef8819, 2 months ago

A polygon has 1377 diagonal determine the number of sides of polygon

Answers

Answered by Rachnadixit2009
0

Answer:

The number so sides of the polygon is 14. ... Therefore, The number so sides of the polygon is 14.

Answered by parulsehgal06
0

Answer:

The number of sides of a polygon with 1377 diagonals is 54.

Step-by-step explanation:

  • To find the 'n' number of sides of a polygon with 'd' number of diagonals.
  • We have a formula

            (n(n-3))/2 = d

     here n = n and d= 1377

        (n(n-3))/2 = 1377

         n²-3n=2754

         n²-3n-2754=0

         to find the value of n

  we use the formula of finding roots of a quadratic equation

        n = (-b±√b²-4ac)/2a

       In the above equation a=1, b=-3, c=-2754

         n = (3±√3²-4(1)(2754))/2(1)

         n = (3±√11025)/2

         n = (3±105)/2

As a polygon's side is counted, it should be a positive number.

So, we consider the positive value

         n = (3+105)/2

         n = 108/2

         n = 54

Hence the no. of sides of polygon = 54

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